03196nam 22005895 450 99619877220331620200630061935.03-319-02441-810.1007/978-3-319-02441-7(CKB)3710000000078599(DE-He213)978-3-319-02441-7(SSID)ssj0001067281(PQKBManifestationID)11567100(PQKBTitleCode)TC0001067281(PQKBWorkID)11091937(PQKB)10734155(MiAaPQ)EBC3107026(PPN)176106057(EXLCZ)99371000000007859920131121d2014 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierCohomological Aspects in Complex Non-Kähler Geometry[electronic resource] /by Daniele Angella1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XXV, 262 p. 7 illus.) Lecture Notes in Mathematics,0075-8434 ;2095Bibliographic Level Mode of Issuance: Monograph3-319-02440-X Preliminaries on (almost-) complex manifolds -- Cohomology of complex manifolds -- Cohomology of nilmanifolds -- Cohomology of almost-complex manifolds -- References.In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of developed analytic techniques makes it possible to prove strong cohomological properties for compact Kähler manifolds. On the other, in order to further investigate any of these properties, it is natural to look for manifolds that do not have any Kähler structure. We focus in particular on studying Bott-Chern and Aeppli cohomologies of compact complex manifolds. Several results concerning the computations of Dolbeault and Bott-Chern cohomologies on nilmanifolds are summarized, allowing readers to study explicit examples. Manifolds endowed with almost-complex structures, or with other special structures (such as, for example, symplectic, generalized-complex, etc.), are also considered.Lecture Notes in Mathematics,0075-8434 ;2095Differential geometryFunctions of complex variablesDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Several Complex Variables and Analytic Spaceshttps://scigraph.springernature.com/ontologies/product-market-codes/M12198Differential geometry.Functions of complex variables.Differential Geometry.Several Complex Variables and Analytic Spaces.514.223Angella Danieleauthttp://id.loc.gov/vocabulary/relators/aut524797MiAaPQMiAaPQMiAaPQBOOK996198772203316Cohomological aspects in complex non-Kähler geometry820739UNISA